Journal
IEEE SIGNAL PROCESSING LETTERS
Volume 15, Issue -, Pages 669-672Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/LSP.2008.2002714
Keywords
Quaternion; quaternion Fourier transform
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Funding
- National Science Council of Taiwan, R.O.C. [NSC 99-2221-E-199-011]
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The recently developed quaternion Fourier transform (QFT) based on quaternion algebra has been found useful for color image processing and signal analysis. However, due to the noncommutative property of quaternion algebra, there exist various definitions for the QFT. The purpose of this letter is to establish and present an in-depth discussion on the relationships among the various QFTs.
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